Answer:
32
Step-by-step explanation:
The facts we have are the height of the small lighthouse is 8, and the base is 2.5. The base of the big lighthouse is 10.
The factor between the base of the big lighthouse and small lighthouse is 4 (10/2.5).
If we apply this to the height, 8x4 = 32
The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
Answer:
r = 1
Step-by-step explanation:
slope = change in y / change in x, so:
change in y / change in x = 2/3
5 - r / 7 - 1 = 2/3
5 - r / 6 = 2/3
now solve this equation.
first, multiply both sides by 6 to get rid of the fraction:
subtract 5 from both sides
multiply both sides by -1
To work out what the other side is that you times 12 to get to 24 you would do: 24 divided by 12 equals 2 therefore you would do 12 times 2 to get 24
The longest side is 5/(5+3+4) = 5/12 of the perimeter, hence
(5/12)*156 cm = 65 cm . . . . . the length of the longest side
